Super McShane identity
Geometric Topology
2026-01-01 v3 High Energy Physics - Theory
Mathematical Physics
Differential Geometry
math.MP
Quantum Algebra
Abstract
The authors derive a McShane identity for once-punctured super tori. Relying upon earlier work on super Teichm\"uller theory by the last two-named authors, they further develop the supergeometry of these surfaces and establish asymptotic growth rate of their length spectra.
Cite
@article{arxiv.1907.09978,
title = {Super McShane identity},
author = {Yi Huang and Robert C. Penner and Anton M. Zeitlin},
journal= {arXiv preprint arXiv:1907.09978},
year = {2026}
}
Comments
v3: 42 pages, 8 figures, to appear in Journal of Differential Geometry